Journal of Vibration Testing and System Dynamics
On the 100th Anniversary of the Full Member of Russian Academy Of Sciences L.V. Ovsyannikov and the 80th Anniversary of His Follower, Professor N.H. Ibragimov
Journal of Vibration Testing and System Dynamics 5(3) (2021) 207--219 | DOI:10.5890/JVTSD.2021.09.001
Inna Emelyanova
Campbell, California, USA
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Abstract
Two dates coincided in 2019: the centenary of the full member of Russian
Academy of Sciences Lev Vasilievich Ovsyannikov (April 22, 1919 -- May 23,
2014) and the eightieth anniversary of his follower, professor Nail
Hairullovich Ibragimov (January 18, 1939 -- November 04, 2018). Through the
efforts of them and their numerous students and followers, Sophus Lie's
theory of local transformation groups was revived and received promising
development.
References
-
[1]  | https://m.youtube.com/watch?v=Vk9l0rjt00A&feature=youtu.be.
|
-
[2]  | Gaston, D.J. (2013), Lectures on general theory of surfaces and geometrical
applications of the analysis of infinitely small. In 4 volumes: Fr. - M.;
Izhevsk: in-t-computer study.
|
-
[3]  | Titov, V.M., Chupakhin, A.P., and Ovsiannikov, L.V. (1999), (To the 80th
Birthday Anniversary), Applied mathematics and mechanics,
63(3), 355-359.
|
-
[4]  | Ovsyannikov, L.V. (1958), Groups and Invariant-Group Solutions of Differential
Equations, Dokl. of the USSR Academy of Sciences, 118(3),
439-442.
|
-
[5]  | Negin, E.A., Goleusova, L.P., Kulichkov, G.D. et al. (1995), Soviet atomic
project. (in Russian) - Nizhny Novgorod; Arzamas-16: Nizhny Novgorod
Publishing House, - 296 c.
|
-
[6]  | Mathematical problems of liquid and gas mechanics (in Russian) // Science
in Siberia. 2004. 16. P.5. (Scientific school of academician L.V.
Ovsiannikov. To the 85th anniversary of his birth).
|
-
[7]  | Ovsyannikov, L.V. (1962), Group properties of the differential equations (in
Russian). - Novosibirsk: Published in Siberian Branch of AS USSR -
238 c.
|
-
[8]  | Ovsyannikov, L.V. (1978), Group Analysis of the Differential Equations (in
Russian). - Moscow: Nauka, - 399 c.
|
-
[9]  | Ovsyannikov, L.V. (1989), (To the seventieth anniversary of his birth), Applied mathematics and mechanics, 53(2), C.179--183.
|
-
[10]  | Ibragimov N.H. (2007), Practical course of the differential equations and
mathematical modeling. Classical and new methods. Nonlinear mathematical
models. Symmetry and principles of invariance (in Russian) /Translated by
I.S. Emelyanova. Nizhni Novgorod: NNSU Publishing House, - 421 p.; 2nd
ed., additional and corrected. - Moscow: Fizmatlit, 2012. - 332 c.
(Ibragimov N. A Practical Course in Differential Equations and Mathematical
Modelling: Classical and new methods, nonlinear mathematical models,
symmetry and invariance principles, 3d ed. Blekinge Inst. Technology,
Karlskrona, Sweden: ALGA publ., 2006. -370 p.).
|
-
[11]  | Ibragimov, N.H. (2006), Selected works. Vol. 1 Blekinge Institute of
Technology, Karlskrona, Sweden: ALGA Publications, -280 p.
|
-
[12]  | Ibragimov N.H. (1983), Groups of transformations in mathematical physics (in
Russian). - Moscow: Nauka, - 280 p.
|
-
[13]  | Ibragimov, N.H., Ed. (1994-1996), CRC Handbook of Lie group analysis of differential
equations. Vol. 1--3. CRS Press Inc., Boca Raton.
|
-
[14]  | Archives of ALGA. (2004-2012), Blekinge Institute of Technology, Karlskrona, Sweden:
ALGA Publications, Volumes 1-9.
|
-
[15]  | Emelyanova I.S. (2008), First nominee for the ``Lagrangian Prize" (2008) -
mathematician N.H. Ibragimov (in Russian) // Scientists notes of the
Volgo-Vyatka Branch of the International Slavic Academy. Issue 23. Nizhny
Novgorod. C. 14--18.
|
-
[16]  | Baikov, V.A. and Gazizov, R.K. (2018), In memory of a scientist (in Russian) // Ufa
mathematical journal, 10(4), 138--140.
|
-
[17]  | Gazizov, R.K. (2009), The 70$^{th}$ anniversary of Nail Hayrullovich Ibragimov
(in Russian), Ufa mathematical journal, 1(3), C. 160--163.
|